A Remark on Lp-Boundedness of Wave Operators¶for Two Dimensional Schrödinger Operators
- Cite this article as:
- Jensen, A. & Yajima, K. Commun. Math. Phys. (2002) 225: 633. doi:10.1007/s002200100603
Let H=−Δ+V be a two dimensional Schrödinger operator with a real potential V(x) satisfying the decay condition \(\), δ > 6. Let H0=−Δ. We show that the wave operators \(\) are bounded in Lp(R2) under the condition that H has no zero resonances or bound states. In this paper the condition \(\), imposed in a previous paper (K. Yajima, Commun. Math. Phys. 208, 125–152 (1999)), is removed.